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247113342 = 2347359607
BaseRepresentation
bin11101011101010…
…10011001111110
3122012222122210000
432232222121332
51001230111332
640304255130
76060300030
oct1656523176
9565878700
10247113342
11117541a03
126a9114a6
133c271818
1424b67c50
1516a63b7c
hexebaa67e

247113342 has 80 divisors (see below), whose sum is σ = 635627520. Its totient is φ = 70291152.

The previous prime is 247113341. The next prime is 247113439. The reversal of 247113342 is 243311742.

It is a happy number.

It is a super-2 number, since 2×2471133422 = 122130007588817928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247113341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 406803 + ... + 407409.

It is an arithmetic number, because the mean of its divisors is an integer number (7945344).

Almost surely, 2247113342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247113342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317813760).

247113342 is an abundant number, since it is smaller than the sum of its proper divisors (388514178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

247113342 is a wasteful number, since it uses less digits than its factorization.

247113342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 978 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 247113342 is about 15719.8391213142. The cubic root of 247113342 is about 627.5264916886.

The spelling of 247113342 in words is "two hundred forty-seven million, one hundred thirteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 359 378 567 607 718 1077 1134 1214 1821 2154 2513 3231 3642 4249 5026 5463 6462 7539 8498 9693 10926 12747 15078 16389 19386 22617 25494 29079 32778 38241 45234 49167 58158 67851 76482 98334 114723 135702 203553 217913 229446 344169 407106 435826 653739 688338 1307478 1525391 1961217 3050782 3922434 4576173 5883651 9152346 11767302 13728519 17650953 27457038 35301906 41185557 82371114 123556671 247113342